SOLUTION: Find three consecutive odd integers such as product of the two lager number is 18 more than three times the sum all three number,

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Question 818542: Find three consecutive odd integers such as product of the two lager number is 18 more than three times the sum all three number,
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
The only real task is to form the equation.
The numbers are 2n+1, 2n+3, 2n+5, the consecutive ODD integers.

%282n%2B3%29%282n%2B5%29=18%2B3%282n%2B1%29
Simplify and solve the quadratic equation for n.

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

Find three consecutive odd integers such as product of the two lager number is 18 more than three times the sum all three number,

Let smaller integer be S
Then middle and largest are: S + 2, and S + 4, respectively
Product of 2 larger integers: (S + 2)(S + 4)
You should be able to form an equation from this and solve to determine the integers.